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Finding the Fourth Proportional to 597.32, 895.98 and 559.05

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Solution

The fourth proportional to 597.32, 895.98 and 559.05 is: 838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.32 : 895.98 = 559.05 : x
  2. Step 2: Convert to fraction form
    597.32/895.98 = 559.05/x
  3. Step 3: Cross multiply
    597.32x = 895.98 × 559.05
  4. Step 4: Simplify right side
    597.32x = 500,896.36
  5. Step 5: Solve for x
    x = 500,896.36/597.32
  6. Step 6: Final answer
    x = 838.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.